\newproblem{lay:5_1_17}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 5.1.17}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
	Find the eigenvalues of $A=\begin{pmatrix}0 & 0 &0 \\ 0 & 3 & 4\\ 0 & 0 & -2\end{pmatrix}$.
}{
  % Solution
	We solve for $\lambda$ the equation
	\begin{center}
		$|A-\lambda I|=0$ \\
		$\left|\begin{array}{rrr}-\lambda & 0 &0 \\ 0 & 3-\lambda & 4\\ 0 & 0 & -2-\lambda\end{array}\right|=-\lambda(3-\lambda)(-2-\lambda)=0$
	\end{center}
	whose roots are $\lambda=0$, $\lambda=3$, and $\lambda=-2$.
}
\useproblem{lay:5_1_17}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
